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Finding the Fourth Proportional to 2,164.92, 3,247.60 and 1,068.23

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Solution

The fourth proportional to 2,164.92, 3,247.60 and 1,068.23 is: 1,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.92 : 3,247.60 = 1,068.23 : x
  2. Step 2: Convert to fraction form
    2,164.92/3,247.60 = 1,068.23/x
  3. Step 3: Cross multiply
    2,164.92x = 3,247.60 × 1,068.23
  4. Step 4: Simplify right side
    2,164.92x = 3,469,183.75
  5. Step 5: Solve for x
    x = 3,469,183.75/2,164.92
  6. Step 6: Final answer
    x = 1,602.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.